Carroll-Schrödinger equation as the ultra-relativistic limit of the tachyon equation. [PDF]
Najafizadeh M.
europepmc +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source
Non-commutative structures of brain and cognition: quantum and contextual probability as a translational framework. [PDF]
Emori H, Khrennikov A, Iriki A.
europepmc +1 more source
High‐Order Sliding‐Mode control for MIMO Systems
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley +1 more source
Analysis of hybrid fractional integro-differential equations with application to cholera dynamics. [PDF]
Algolam MS +4 more
europepmc +1 more source
Feedback Linearisation with State Constraints
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley +1 more source
Quantum Shannon Information Theory-Design of Communication, Ciphers, and Sensors. [PDF]
Hirota O.
europepmc +1 more source
Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley +1 more source
Differential geometry-based harmonic analysis of three-phase systems. [PDF]
Sundriyal N +4 more
europepmc +1 more source
ABSTRACT The increasing integration of distributed energy resources demands enhanced coordination between transmission system operators (TSOs) and distribution system operators (DSOs) to maintain reliable grid operation. Traditional approaches rely on hierarchical or distributed optimization schemes for power flow management, but these methods either ...
Janis Adamek +4 more
wiley +1 more source

